Study of impulsive problems under Mittag-Leffler power law
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Date
2020
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Abstract
his article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.
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Keywords
Mathematics, Fractional Impulsive Problems, Atangana-Baleanu-Caputo Operator, Existence Theory, Fixed Point Theorem
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Citation
Abdo, Mohammed S...et al. (2020). "Study of impulsive problems under Mittag-Leffler power law", Heliyon, Vol. 6, No. 10.
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Source
Heliyon
Volume
6
Issue
10